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Finding the Third Proportional to 98,618.25 and 209,523

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Solution

The third proportional to 98,618.25 and 209,523 is: 445,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,618.25 : 209,523 = 209,523 : x
  2. Step 2: Convert to fraction form
    98,618.25/209,523 = 209,523/x
  3. Step 3: Cross multiply
    98,618.25x = 209,523 × 209,523
  4. Step 4: Simplify right side
    98,618.25x = 43,899,887,529
  5. Step 5: Solve for x
    x = 43,899,887,529/98,618.25
  6. Step 6: Final answer
    x = 445,149.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.